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Finding the Fourth Proportional to 5,618.61, 8,409.69 and 3,147.30

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Solution

The fourth proportional to 5,618.61, 8,409.69 and 3,147.30 is: 4,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618.61 : 8,409.69 = 3,147.30 : x
  2. Step 2: Convert to fraction form
    5,618.61/8,409.69 = 3,147.30/x
  3. Step 3: Cross multiply
    5,618.61x = 8,409.69 × 3,147.30
  4. Step 4: Simplify right side
    5,618.61x = 26,467,817.34
  5. Step 5: Solve for x
    x = 26,467,817.34/5,618.61
  6. Step 6: Final answer
    x = 4,710.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.